Find the LCM of 14 and 18 using prime factorizations.
1 answer:
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Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V =
Cancel the common factor - 3 :
V =
Multiply 8 and 3π :
V =
Solve the exponent :
V =
Multiply :
V =
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Answer:
<h3>B. 16°</h3>Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
